Final Exam Review #10

Final Exam Review #10

Quadratic Attributes

Domain and Range

• Domain -- x values from left to right

• Range -- y values from bottom to top

Multiple Choice

What is the domain of the function?

• [3,∞)
• (-∞,3]
• (-∞,∞)
• (-5,∞)

Multiple Choice

What is the range for the function below? 

• (-∞,4]
• [4,∞)
• (-∞,∞)
• (-∞4)

Multiple Choice

Which of the following quadratics has a range of all real numbers less than or equal to 4?

Multiple Choice

What is the range of the function shown?

• y < -1

• y > -1

• y ≥ -1

• y ≤ -1

Multiple Choice

Which of the following has a domain of all real numbers greater than -3 and less than or equation to 5?

Intercepts

• x - intercept: where the parabola touches the x-axis

• y - intercept: where the parabola touches the y-axis

Multiple Choice

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Multiple Choice

Which is a zero of the graph?

• 0
• -1
• 1.5
• -3

Multiple Choice

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Multiple Choice

Identify the x-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

Identify the y-intercept of the graph.

• (0, 3)

• (-1, 0)

• (0, -1)

• (3, 0)

Multiple Choice

Identify the graph with a x-intercept of -2 and y-intercept of 2

Multiple Choice

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

Vertex -- the highest or lowest point on the parabola

• Maximum -- the y value of a vertex that is the highest point on the parabola

• Minimum -- the y value of a vertex that is the lowest point on the parabola

Multiple Choice

What is the vertex?

• (-1,-2)
• (-2,-1)
• (-3,-1)
• (2,1)

Multiple Choice

What is the vertex?

• (-1,-2)
• (-2,-1)
• (-3,-1)
• (2,1)

Multiple Choice

What is the vertex of this parabola?

• (1, 2)
• (-1, -2)
• (1, -2)
• (-1, 2)

Multiple Choice

Which of the following functions has a minimum value of -4?

Multiple Choice

What do we call the highest or lowest point of a quadratic?

• parabola
• vertex
• graph
• point

Multiple Choice

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

Multiple Choice

Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST. 

• Maximum
• Minimum

Intervals of increasing and decreasing

• Intervals of increasing: x values from left to right where the y value is getting bigger (if you put a toy car on the graph, the car would go up to the top of a hill as it moves from left to right)

• Intervals of decreasing: x values from left to right where the y value is getting smaller (if you put a toy car on the graph, the car would go down the hill as it moves from left to right

Multiple Choice

Which is an interval of decreasing for the graph?

• (-∞, -2)

• (-1, 1)

• (-2, 2)

• (-∞, -1)

Multiple Choice

Which is the interval of increasing for the graph?

• (-∞, -4)

• (1, ∞)

• (-4, 1)

• (-4, -2)

Multiple Select

Which are the intervals of decreasing for the graph?

• (-∞, 0)

• (0, 2)

• (2, ∞)

• (-∞, ∞)

Multiple Choice

Which is the interval of increasing for the graph?

• (-∞, 1)

• (1, ∞)

• (-∞, ∞)

• (1, 5)

Multiple Choice

What is the increasing interval on the function shown?

•  $-\infty\ \le\ x\ \le\ -3$ 

•  $-\infty\ \le\ x\ \le\ \infty$ 

•  $-4\ \le\ x\ \le\ \infty$ 

•  $-3\ \le\ x\ \le\ \infty$ 

Multiple Choice

When is this function increasing?

• -2.5 < x < 2.5
• 0 < x < 5
• 0 < x < 55
• -5 < x < 0

Evaluate

• Using a function: evaluate f(2) when   $f\left(x\right)=-x^2\ +5x\ -3$  

•  $Substitute\ the\ x\ value\ with\ the\ number\ so$   $f\left(2\right)\ =-\left(2\right)^2+5\left(2\right)\ -3\ =\ -4+10-3$   $f\left(2\right)=3\ \left(In\ other\ words,\ when\ x\ is\ 2,\ y\ is\ 3\right)$  

• Given a graph, find the x value on the graph and tell what the y value is at that x value.

Multiple Choice

Given the function graphed here, evaluate f(-2)

• -4

• 2

• 3

• 0

Multiple Choice

Given the graph, find the value of f(4)

• 0

• -3

• 1

• -2

Fill in the Blank

Find  $f\left(1\right)$  for $f\left(x\right)=-x^2-9x+7\$  

Multiple Choice

Evaluate f(3) when f(x)=x²+x-12

• 0
• 4
• -7

Multiple Choice

Evaluate f(0) when f(x)=x²+x-12

• -12
• 9
• -16

Multiple Choice

Evaluate f(-1) when f(x)=x²+x-12

• -12
• 36
• -43